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What is the Least Common Multiple of 81495 and 81513?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 81495 and 81513 is 738100215.

LCM(81495,81513) = 738100215

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Least Common Multiple of 81495 and 81513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81495 and 81513, than apply into the LCM equation.

GCF(81495,81513) = 9
LCM(81495,81513) = ( 81495 × 81513) / 9
LCM(81495,81513) = 6642901935 / 9
LCM(81495,81513) = 738100215

Least Common Multiple (LCM) of 81495 and 81513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81495 and 81513. First we will calculate the prime factors of 81495 and 81513.

Prime Factorization of 81495

Prime factors of 81495 are 3, 5, 1811. Prime factorization of 81495 in exponential form is:

81495 = 32 × 51 × 18111

Prime Factorization of 81513

Prime factors of 81513 are 3, 3019. Prime factorization of 81513 in exponential form is:

81513 = 33 × 30191

Now multiplying the highest exponent prime factors to calculate the LCM of 81495 and 81513.

LCM(81495,81513) = 33 × 51 × 18111 × 30191
LCM(81495,81513) = 738100215